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A shopkeeper has two varieties (superior and inferior) of a tea and per kg cost price of superior and inferior quality of tea is Rs. 30 and Rs. 20. He mixes both types of tea in the ratio 4 : 1 respectively and sold at Rs. 32.2 per kg, then what is the profit percent earned by the shopkeeper?

A shopkeeper has two varieties (superior and inferior) of a tea and per kg cost price of superior and inferior quality of tea is Rs. 30 and Rs. 20. He mixes both types of tea in the ratio 4 : 1 respectively and sold at Rs. 32.2 per kg, then what is the profit percent earned by the shopkeeper? Correct Answer 15%

Let the cost price of the mixture be X.

By the rule of allegation : 

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(20 - X) : (X - 30) = 4 : 1

20 - X = 4X - 120

5X = 140

X = 28

SP of mixture = Rs. 32.2

Profit = 32.2 - 28 = Rs. 4.2

Required profit percent = (4.2/28) × 100 = 15%

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